Object very much encountered in Government around end of March (9)
I believe the answer is:
something
'object' is the definition.
'very much encountered in government around end of march' is the wordplay.
'very much' becomes 'so'.
'encountered' becomes 'met' ('meet' can be a synonym of 'encounter'**).
'government' becomes 'g'.
'around' is an insertion indicator.
'end of' says to take the final letters.
The final letter of 'march' is 'h'.
'met'+'in'+'g'='meting'
'meting' placed around 'h' is 'mething'.
'so'+'mething'='SOMETHING'
(Other definitions for something that I've seen before include "Unspecified item" , "It's not nothing" , "unknown" , "Special quality" .)